Details

Time bar (total: 1.7s)

analyze4.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
4.0ms
(* x (log x))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* x (log x))

simplify36.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
097118
134997
2115292
3500292

prune38.0ms

Filtered
16 candidates to 28 candidates (-75.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New23528
Fresh000
Picked011
Done000
Total23629

Merged error: 0.0b

Counts
29 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt x)))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt x)))
10.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series143.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* x (log (cbrt x)))
48.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
25.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify50.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0364765
11382661
25002593

prune121.0ms

Filtered
89 candidates to 114 candidates (-28.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1104114
Fresh314
Picked101
Done011
Total1146120

Merged error: 0b

Counts
120 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 2 (log (cbrt x))))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (pow x 1/3))))
0.6b
(cbrt x)
4.9b
(pow x 1/3)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
62×log-prod
55×distribute-rgt-in distribute-lft-in
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
24×associate-+l+
14×associate-+r+
10×pow1 add-exp-log
9×unpow-prod-down add-cbrt-cube
6×add-log-exp
3×pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod sqr-pow
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 associate-*r* pow-exp sum-log *-commutative flip-+ distribute-lft-out
Counts
4 → 121
Calls
4 calls:
8.0ms
(* x (* 2 (log (cbrt x))))
10.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (pow x 1/3))))
1.0ms
(cbrt x)
2.0ms
(pow x 1/3)

series148.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* x (* 2 (log (cbrt x))))
61.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (pow x 1/3))))
21.0ms
(cbrt x)
20.0ms
(pow x 1/3)

simplify69.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0536947
12113794
25002632

prune175.0ms

Filtered
89 candidates to 133 candidates (-49.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh044
Picked011
Done011
Total1336139

Merged error: 0b

Counts
139 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 42
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
23.0ms
(cbrt x)
34.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify185.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
0114231
1227209
2718167
33809154
45001154

prune70.0ms

Filtered
43 candidates to 54 candidates (-25.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New54054
Fresh033
Picked011
Done022
Total54660

Merged error: 0b

Counts
60 → 6

regimes87.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042
142

end0.0ms

analyze3.0ms

Algorithm
search

sample297.0ms

Algorithm
intervals
Results
206.0ms8000×body80valid
0.0ms2×body80nan

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